Selina Siu |
Chair:
Tech Presenters:
Stephen Mann |
Title: Using Geometric Algebra to Compute Singularities in 3D Vector Fields
Abstract: The flow of air and water is commonly represented as a vector field. These fields are used to analyze things such ground water flow and the air flow over an air plane wing. One difficulty in working with such fields occurs at singularities, or zeros, in the vector fields. While some singularities are known, such as sources and sinks in ground water flow, other singularities cause problems in analyzing the flow. In this talk, I will describe a method for finding singularities in 3D vector fields. The method uses geometric algebra to approximate an integral that determines if there is a singularity within a volume. This in turn is used to drive an octree spatial subdivision to localize the singularity.